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APRG Seminar

Title: Restricted weak type $(1,1)$ estimates for averaging operators
Speaker: MarĂ­a J. Carro (Universidad Complutense de Madrid, Madrid, Spain)
Date: 19 January 2022
Time: 4 pm
Venue: Microsoft Teams (online)

There many operators in Harmonic Analysis which can be described as an average of a family of operators $\{T_j\}_j$ for which some boundedness properties are known. In particular, if $T_j$ are uniformly bounded on $L^p$, then the Minkowski integral inequality tells us that $T$ also satisfies this property. But things change completely if the information that we have is that $T_j$ are of weak type (1,1).

However, under certain condition on the operators $T_j$, the weak type boundedness of $T$ can be reached.

This is a joint work with my student Sergi Baena.

The video of this talk is available on the IISc Math Department channel.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 20 Jun 2024